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Definition of a supplementary angle: an angle that is supplementary to another angle is an angle in which the sum of both angles forms a straight line or 180 degrees.

Definition of a right angle: an angle whose measure is 90 degrees.

Using these terms, let's put them into an equation.

Right angle + Supplementary angle = 180.

90 + Supplementary angle = 180.

Subtract 90 from both sides.

Supplementary angle = 180 - 90

Supplementary angle = 90 degrees.

Alternatively, you can think that two right angles are equivalent to a straight line and that all right angles are congruent and therefore; their supplementary angles are also congruent.

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13y ago

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